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3140101143320 = 2351721423190889
BaseRepresentation
bin101101101100011100100…
…111001111101100011000
3102010012011001021202202012
4231230130213033230120
5402421411343041240
610402313105125052
7442602430216631
oct55543447175430
912105131252665
103140101143320
111000789262339
124286a5629788
1319a158345bcb
14abda5b32888
1556a34293b65
hex2db1c9cfb18

3140101143320 has 96 divisors (see below), whose sum is σ = 7510589956800. Its totient is φ = 1181318787072.

The previous prime is 3140101143259. The next prime is 3140101143323. The reversal of 3140101143320 is 233411010413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140101143323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16354436 + ... + 16545324.

It is an arithmetic number, because the mean of its divisors is an integer number (78235312050).

Almost surely, 23140101143320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140101143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755294978400).

3140101143320 is an abundant number, since it is smaller than the sum of its proper divisors (4370488813480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3140101143320 is a wasteful number, since it uses less digits than its factorization.

3140101143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192357 (or 192336 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3140101143320 its reverse (233411010413), we get a palindrome (3373512153733).

The spelling of 3140101143320 in words is "three trillion, one hundred forty billion, one hundred one million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1423 1445 2312 2846 2890 5692 5780 7115 11384 11560 14230 24191 28460 48382 56920 96764 120955 190889 193528 241910 381778 411247 483820 763556 822494 954445 967640 1527112 1644988 1908890 2056235 3245113 3289976 3817780 4112470 6490226 7635560 8224940 12980452 16225565 16449880 25960904 32451130 55166921 64902260 110333842 129804520 220667684 271635047 275834605 441335368 543270094 551669210 1086540188 1103338420 1358175235 2173080376 2206676840 2716350470 4617795799 5432700940 9235591598 10865401880 18471183196 23088978995 36942366392 46177957990 78502528583 92355915980 157005057166 184711831960 314010114332 392512642915 628020228664 785025285830 1570050571660 3140101143320